Step-by-step explanation:
M = 4/9 + 11/72
M = (4 x 8) / (9 x 8) + 11/72
M = 32/72 + 11/72
M = 43/72
N = 8/15 - 1/3
N = 8/15 - (1 x 5) / (3 x 5)
N = 8/15 - 5/15
N = 3/15
N = (3 x 1) / (3 x 5)
N = 1/5
O = 8/7 + 9/35
O = (8 x 5) / (7 x 5) + 9/35
O = 40/35 + 9/35
O = 49/35
O = (7 x 7) / (7 x 5)
O = 7/5
P = 3 - 2/10
P = (3 x 10) / (1 x 10) - 2/10
P = 30/10 - 2/10
P = 28/10
P = (2 x 14) / (2 x 5)
P = 14/5
Q = 11/15 + 1/6
Q = (11 x 2) / (15 x 2) + (1 x 5) / (6 x 5)
Q = 22/30 + 5/30
Q = 27/30
Q = (3 x 9) / (3 x 10)
Q = 9/10
R = 3/4 - 7/10
R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)
R = 15/20 - 14/20
R = 1/20.
Ali and Ben have a total of 36 CDs. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali. How many CDs did Ali have originally?
Answer:
I believe the answer is 20 cds
Step-by-step explanation:
got Ben to have twice her CDs he would have to have 24 while she had 12.
if Ali gave away 40 percent than 12 would be 60 percent.
from there I cross multiplied.
If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.
Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."
According to the information given:
1. Ali and Ben have a total of 36 CDs: x + y = 36
2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:
Ali gives away 40% of x, which is 0.4x CDs.
After this, Ali has x - 0.4x = 0.6x CDs left.
Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.
According to the second statement, y + 0.4x = 2(0.6x).
Now, we have a system of two equations:
x + y = 36 ........(1)
y + 0.4x = 2(0.6x) ........(2)
First, let's simplify equation (2):
y + 0.4x = 2(0.6x)
y + 0.4x = 1.2x
Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):
y = 36 - x
Substitute y in equation (2):
36 - x + 0.4x = 1.2x
Combine like terms:
36 = 1.2x + x - 0.4x
36 = 1.6x
Now, solve for x:
x = 36 / 1.6
x = 22.5
Since the number of CDs cannot be a decimal, let's reevaluate the equations.
From equation (1):
x + y = 36
Substitute the value of x we found:
22.5 + y = 36
y = 36 - 22.5
y = 13.5
Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.
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❓ x 2 1/2 = 15/16 super easy question :)
Step-by-step explanation:
x* 2½ = 15/16
x * 5/2 = 15/16
x = 15/16*2/5
x = 3/8
Answer:
3/8
Step-by-step explanation:
Zoom in so you can see it
I will give you 50 point and brain list
Answer:
so this is what it should be let me know if this Is wrong
Solve 7! (Factorials) please help I suck at math :(
Answer:
7! = 5040
Step-by-step explanation:
7! is a factorial expression that can be solved as follows:
7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Therefore, 7! = 5040
Evaluate: 5x + 1 when x = 2.
Answer:
answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
HELP pleaseeeeeeeeee
Answer:
Or is separate
And is together
divide 75 liters in the ratio 12 8 5
Answer:
According to the question,
[tex]12x + 8x + 5x = 75[/tex]
_____________________
[tex]12x + 8x + 5x = 75[/tex]
[tex]25x = 75[/tex]
[tex]x = \frac{75}{25} [/tex]
[tex]x = 3[/tex]
Now,
[tex]12x = 36[/tex]
[tex]8x = 24[/tex]
[tex]3x = 15[/tex]
So,
75 in the ratio of 12 : 8 : 5 is
36, 24 and 15
Answer:
36 : 24 : 15
Step-by-step explanation:
sum the parts of the ratio, 12 + 8 + 5 = 25 parts
Divide the quantity by 25 to find the value of one part of the ratio
75 l ÷ 25 = 3 l , then
12 parts = 12 × 3 = 36 l
8 parts = 8 × 3 = 24 l
5 parts = 5 × 3 = 15 l
A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x
Answer:
45
Step-by-step explanation:
2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)
12x=540
x=45
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.
Identifying values in the domain PLS HELP
i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)
Answer:
I have simplified it to −
2 ^ 3 − 3 ^2 +
Step-by-step explanation:
[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]
Step by Step Solution: Use the distributive property to multiply – w by – 2x – 3w + 1.
[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]
Multiply −2 and −1 to get 2.[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]
Multiply −3 and −1 to get 3.[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]
Multiply w and w to get w².[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]
Hope It's Help
Find the equation of the line passing through the following : (-1;6) and (-3;0)
Please help...
Answer:
Step-by-step explanation:
[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]
Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9
Select the correct answer.
Consider these functions:
Rx) = 5x + 2
g(x) = x-1
What is the value of g(1-1))?
A. 2
OB. 8
OC.
22
D.
48
Answer:
- 8
Step-by-step explanation:
Evaluate g(- 64) then substitute the value obtained into f(x)
g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then
f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8
solving systems of equations in three variables
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
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can someone help please :)
help me please thanks
Answer:
h(t) = -3 + 1.5t
Step-by-step explanation:
Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.
h(t) = -3 + 1.5t
a(-3)=5 What will a equal
Answer:
a = - 5/3
Step-by-step explanation:
16+16×5+7+7+7+7+7+7+7+7+7+7+7+7
Answer:
180
Step-by-step explanation:
[tex]16+16*5+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+84\\180[/tex]
Answer:
180
Step-by-step explanation:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,
−
4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.
[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]
The wire is 25 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole .how high is the flag pole
Answer:
20 feet
Step-by-step explanation:
Using Pythagoras rule:
25^2 - 15^2
625 - 225
400
√400 = 20 feet
Help me with this question.
Answer:
The equation for the nth term of the arithmetic sequence is:
[tex]a_{n} = a + (n-1)d\\[/tex]
The [tex]a_{30}[/tex] is 140
Step-by-step explanation:
"a" represents the first term which is -5.
"d" represents the common difference which is 5.
To find the common difference, just subtract the 2nd and 1st term.
0 - (-5) = 5
Now put the values in the equation:
[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]
We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.
[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]
So the 30th term is 140
i need the solution to this problem pls!
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
Math question in attachment
Answer:
Nope
Step-by-step explanation:
If you do the line test you would see that two dots touch the line and that means it is not a function.
I really need help pls!!
Answer:
116
Step-by-step explanation:
First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:
(14x+4)+(5x-1)+(2x+9)=180
x=8
Then to find angle A put 8 in place of x. 14(8)+4=116
Answer:
[tex]116 \degree[/tex]
Step-by-step explanation:
Interior angles of a triangle is added up to 180°
Therefore,
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]
Now you can solve this equation and find the value of x
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]
Now you can Find the value of <A
[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
7x-2y=-29
9x+10y=13
emliantion substuion methd
Answer:
(-3, 4)
Step-by-step explanation:
5(7x - 2y = -29)
35x - 10y = -145
9x + 10y = 13
44x = -132
x = -3
7(-3) - 2y = -29
-21 - 2y = -29
-2y = -8
y = 4
I need this solved with the answer as an ordered pair
Answer:
look at the picture i have sent
explain why the area of the circle is less than 4 square units
Answer:
50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y
Determine the measure of angle ∠ABD.
a) 48
b) 12
c) 90
d) 24
Answer:
24 or 12
Step-by-step explanation: